A comparative study on relations and vague relations | |
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( Volume 3 Issue 3,March 2017 ) OPEN ACCESS | |
Author(s): | |
Dr. Hakimuddin khan, Dr. Poonam Tariq | |
Abstract: | |
Relation is a word by which we connect at least two quantities by a rule. If there is no connection, it means there is no relation between the quantities, such quantities are treated as independent quantities in mathematics. Generally in algebra we define “ A relation is a subset of Cartesian product of two non empty sets. The definition of a relation indicates that without Cartesian product of two non empty sets a relation can not be formed. Generally there are three type of relations in algebra. Reflexive, symmetric and transitive. The relation which is reflexive and symmetric and transitive is called equivalence relation. Taking this theory in mind the researchers introduce the concept of intuitionistic fuzzy (vague ) relations. Fuzzy sets introduced by Zadeh [1] had a great importance in the field of management, computer sciences, and daily life problems later on the theory of intuitionistic fuzzy set was introduced by Attnassove [2] by using Zadeh :s Fuzzy set theory. In this present paper the author discuss a comparison between relations and vague relations,and their properties. |
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